Rahele Nuraei
Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran
[ 1 ] - Convergence of a semi-analytical method on the fuzzy linear systems
In this paper, we apply the homotopy analysis method (HAM) for solving fuzzy linear systems and present the necessary and sufficient conditions for the convergence of series solution obtained via the HAM. Also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the HAM is applied to linear system of equations. Comparisons are made between the ...
[ 2 ] - REVISION OF SIGN DISTANCE METHOD FOR RANKING OF FUZZY NUMBERS
Recently, Abbasbandy and Asady have been proposed a modificationof the distance based approach, namely ``sign distance method''.However, in this paper, it is shown that this method has some drawbacks, i.e.,the result is not consistent with human intuition for specialcases and this method cannot always logically infer rankingorder of the images of the fuzzy numbers. In this paper, wepresent a re...
[ 3 ] - Algebraic Solving of Complex Interval Linear Systems by Limiting Factors
In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex in...
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